Question

Determine a matriz de quarta ordem
Aij -3,se i>j
2(i+j)se i J -2i,se i=j

Answer 1

$a_{ij}=$

$\begin{cases}-3\\2(i+j)\\-2i\end{cases}$

$a_{11}=-2\\a_{12}=6\\a_{13}=8\\a_{14}=10$

$a_{21}=-3\\a_{22}=-4\\a_{23}=10\\a_{24}=12$

$a_{31}=-3\\a_{32}=-3\\a_{33}=-6\\a_{34}=14$

$a_{41}=-3\\a_{42}=-3\\a_{43}=-3\\a_{44}=-8$

$\begin{vmatrix}a_{11}&a_{12}&a_{13}&a_{14}\\a_{21}&a_{22}&a_{23}&a_{24}\\a_{31}&a_{32}&a_{33}&a_{34}\\a_{41}&a_{42}&a_{43}&a_{44}\end{vmatrix}$

$\begin{vmatrix}-2&6&8&10\\-3&-4&10&12\\-3&-3&-6&14\\-3&-3&-3&-8\end{vmatrix}$